Another item of concern for me would be the very large choice for the POWER INVERTER. A 2000 watt unit will want to draw around 160-170 DC AMPS CURRENT (or more) if fully loaded down and this will do a big number on your truck start battery system. Just using a single battery 100AH or so will only give you around 15-minutes of use before running down the battery. This may also do damage to the truck start system alternator... This is alot of DC Current being used probably demanding more current then the standard truck alternator is producing...
Just my thoughts here...
Roy Ken